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STOC
2005
ACM
174views Algorithms» more  STOC 2005»
15 years 10 months ago
On the average case performance of some greedy approximation algorithms for the uncapacitated facility location problem
In combinatorial optimization, a popular approach to NP-hard problems is the design of approximation algorithms. These algorithms typically run in polynomial time and are guarante...
Abraham Flaxman, Alan M. Frieze, Juan Carlos Vera
STOC
2005
ACM
143views Algorithms» more  STOC 2005»
15 years 10 months ago
Optimal approximations of the frequency moments of data streams
We give a 1-pass ~O(m1-2/k )-space algorithm for computing the k-th frequency moment of a data stream for any real k > 2. Together with the lower bounds of [1, 2, 4], this reso...
Piotr Indyk, David P. Woodruff
STOC
2005
ACM
142views Algorithms» more  STOC 2005»
15 years 10 months ago
Market equilibrium via the excess demand function
We consider the problem of computing market equilibria and show three results. (i) For exchange economies satisfying weak gross substitutability we analyze a simple discrete versi...
Bruno Codenotti, Benton McCune, Kasturi R. Varadar...
STOC
2005
ACM
115views Algorithms» more  STOC 2005»
15 years 10 months ago
Lower-stretch spanning trees
We show that every weighted connected graph G contains as a subgraph a spanning tree into which the edges of G can be embedded with average stretch O log2 n log log n . Moreover, w...
Michael Elkin, Yuval Emek, Daniel A. Spielman, Sha...
ECCC
2007
88views more  ECCC 2007»
14 years 9 months ago
Combinatorial Construction of Locally Testable Codes
An error correcting code is said to be locally testable if there is a test that checks whether a given string is a codeword, or rather far from the code, by reading only a constan...
Or Meir